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Lemur [1.5K]
2 years ago
6

Q7: Determine the graph of the polar equation r = 12/6+4n cos theta.

Mathematics
1 answer:
iVinArrow [24]2 years ago
3 0

Answer:

Choice B

Step-by-step explanation:

The first step is to write the polar equation of the conic section in standard form by dividing the numerator and denominator by 6;

r=\frac{2}{1+\frac{2}{3}cos theta }

The eccentricity of this conic section is thus 2/3, the coefficient of cos theta. Clearly, the eccentricity is between o and 1 implying that this conic section represents an Ellipse.

Lastly, the ellipse will open towards the left since we have positive cos theta in the denominator. The only graph that meets the conditions is graph B.

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Dwight deposits $150 into his new savings account. The account earns 5% interest compounded annually.
GrogVix [38]

Answer:

A=\$150(1.05)^{t}  

Step-by-step explanation:

we know that    

The compound interest formula for this problem is equal to  

A=P(1+r)^{t}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  in years

in this problem we have  

P=\$150\\ r=5\%=0.05  

substitute in the formula above  

A=\$150(1+0.05)^{t}  

A=\$150(1.05)^{t}  

8 0
3 years ago
Emanuel added two integers.
Temka [501]
A. When you add to negative numbers, it is always negative. A positive + a positive is positive. In D, the answer is always 0. 1 + -1 is 0. In C, it varies. The bigger number not including the negative sign is the sign the number has. For example, -6 + 5 = -1. 6 is bigger than 5. You subtract the smaller number from the bigger number and that is the answer. You would then tack on the negative sign because it is -6, and 6 is bigger than 5.
7 0
2 years ago
Helpp worth 20 points!!<br>write the equation of the line below<br><br>​
Anit [1.1K]

Answer:

y = -x -2

Step-by-step explanation:

7 0
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A cup of coffee contains about 100 mg of caffeine. Caffeine is metabolized and leaves the body at a continuous rate of about 12%
Mamont248 [21]

Answer:

a. A = C_{0}(1-x)^t\\x: percentage\ of \ caffeine\ metabolized\\

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Step-by-step explanation:

First, we need tot find a general expression for the amount of caffeine remaining in the body after certain time. As the problem states that every hour x percent of caffeine leaves the body, we must substract that percentage from the initial quantity of caffeine, by each hour passing. That expression would be:

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Then, to find the amount of caffeine metabolized per hour, we need to differentiate the previous equation. Following the differentiation rules we get:

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The rate is negative as it represents the amount of caffeine leaving the body at certain time.

3 0
3 years ago
Wil give brainlet ASAP!a A boating company has the following notice at the gate:
irinina [24]

Answer:

Step-by-step explanation:

A. If children are considered people under the age of 18, then the answer would be

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